I must do my duty



                              I MUST DO MY DUTY

                                 (continue)
I.G. Goriachko, St. Petersburg, in February, 23.
 Forms of neutral and  changed  body’s  trajectories  in  Nature  are  very
differently  and  depended  on  a  pressure  (p)  and  temperature  (T)   of
surroundings. With reference to  microcosm,  the  neutral  bodies  (photons,
roentgen-rays, gamma-rays, free neutrons, and etc.) for  lack  of  influence
to  them  coulomb’s  forces  always  moving  merely   by   the   parabolical
trajectories.  The  changed  orbital  bodies  (electrons,  protons,   [pic]-
particles, and etc., being  on  the  steady  atom’s  and  nucleus’s  orbits)
always moving merely by elliptical orbits. These changed particles by  their
crossing from the one to the  next  steady  elliptical  orbit  (and  a  free
changed ones) always  moving  merely  by  hyperbolical  trajectories.  As  a
result of these crossings eccentricities of  trajectories  suddenly  changed
from the  range[pic]to  the  [pic][pic]  (and  back).  This  signified  that
eccentricity (e) of the orbit is appeared as the quantum parameter  depended
on (p, T). Into the atom and into its nucleus acted  only  exactly  balanced
coulomb’s  and  gravity  forces   of   differently   ([pic])   orientations.
Therefore, so-called «nuclei ‘s forces» are not existing. The circle or  the
straight-line motions  in  Nature  are  impossible  in  order  to  a  really
curvature in space and time. But as natural indicator of this curvature  may
be namely the form of body’s trajectory.
3.The real body’s trajectories in Nature
The explanation 2. It was shown in the exp. 1 for the orbital body: W  <  0,
[pic][pic]for the non-orbital body: W>0, [pic]
 Write down the  conical  equation  (for  the  circle,  ellipse,  parabola,
hyperbola) in the non-dimensional forms
- for the ellipse
 [pic] , where 0 <[pic], (2)
- for the hyperbola [pic] , where 1[pic]. (3)
 By means of (2), (3),(A) we obtain
[pic] [pic], where [pic], (a)
[pic][pic] [pic], where [pic] (b)
 For the straight-line: [pic] Therefore,[pic] (c). For the circle: [pic]  .
Therefore,[pic](d)
 For the parabola:[pic] Therefore,[pic](e).  But  for  the  elliptical  and
hyperbolical trajectories parameters[pic]are periodical ones.

4.Some useful formulas
  Cephler’s the Third law has the next modern form (where f –  the  gravity
constant, M – mass of the Sun, [pic] - the  orbit  ‘s  semi-axis,  [pic]  –
period) [pic] But as w=[pic][pic] (where m – the planet’s mass)  we  obtain
from (1) [pic][pic] From these equations we  obtain  the  correlation  (A),
where [pic]. Also from the (1) we obtain: a)[pic] For  the  circle  ([pic])
motion [pic] - the first cosmic velocity. For the parabolic ([pic])  motion
[pic] - the second (or so-called - the «parabolic»)  cosmic  velocity,  and
etc. b) [pic] (where M – the planet’s mass, r–the planet’s radius, [pic]the
basis vector). Therefore, the body’s weight ([pic]) on the planet  depended
on the form its orbit. For the circle ([pic]) motion, we  obtain:  [pic]  -
the acceleration of gravity. From the (B’) for the photon ([pic][pic]) , we
obtain : [pic]- the full photon’s energy. And etc. You  will  be  certained
soon  about  the   parameter   [pic][pic]   fundamental   significance   in
thermomechanics of macro- and microcosm.

Thank you. To the next report in March, 08. G.I.G.